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Finding the Third Proportional to 94.75 and 166.38

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Solution

The third proportional to 94.75 and 166.38 is: 292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.75 : 166.38 = 166.38 : x
  2. Step 2: Convert to fraction form
    94.75/166.38 = 166.38/x
  3. Step 3: Cross multiply
    94.75x = 166.38 × 166.38
  4. Step 4: Simplify right side
    94.75x = 27,680.64
  5. Step 5: Solve for x
    x = 27,680.64/94.75
  6. Step 6: Final answer
    x = 292.14

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.